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Finding the Fourth Proportional to 2,701.91, 4,046.79 and 1,644.86

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Solution

The fourth proportional to 2,701.91, 4,046.79 and 1,644.86 is: 2,463.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.91 : 4,046.79 = 1,644.86 : x
  2. Step 2: Convert to fraction form
    2,701.91/4,046.79 = 1,644.86/x
  3. Step 3: Cross multiply
    2,701.91x = 4,046.79 × 1,644.86
  4. Step 4: Simplify right side
    2,701.91x = 6,656,419.28
  5. Step 5: Solve for x
    x = 6,656,419.28/2,701.91
  6. Step 6: Final answer
    x = 2,463.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.